The verdict was announced in a federal court. Apple had requested $379.8 million, while Samsung argued that it should have to pay $52.7 million.
Representatives for Apple and Samsung could not immediately be reached after the verdict was announced.
Apple and Samsung have been fighting in the courts for over two years. Last year, Apple was awarded over $1 billion after it convinced a jury that Samsung copied various iPhone features - like using fingers to pinch and zoom on the screen - along with design touches like the phone's flat, black glass screen.
In March US District Judge Lucy Koh upheld about $600 million of that verdict but ordered a retrial on the rest, ruling that the previous jury had made some errors in its calculations.
Samsung manufactures phones that use the Android operating system, which is developed by Google.
The case in US District Court, Northern District of California is Apple Inc vs. Samsung Electronics, 11-1846.
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